Answer
a. $ \approx 1.3\times10^{3}eV $
b. $ \approx 1.5\times10^{8}eV $
Work Step by Step
Estimate the uncertainty in the energy by using equation 28–2.
$$\Delta E \approx \frac{\hbar}{\Delta t}$$
a. Find the lifetime of the particle from table 32-2.
$$=\frac{1.055\times 10^{-34}J \cdot s}{5.1\times10^{-19}s}\frac{1eV}{1.60\times10^{-19}J}$$
$$ \approx 1.3\times10^{3}eV $$
b. Find the lifetime of the particle from table 32-2.
$$=\frac{1.055\times 10^{-34}J \cdot s}{4.4\times10^{-24}s}\frac{1eV}{1.60\times10^{-19}J}$$
$$ \approx 1.5\times10^{8}eV $$
